BV Solutions to a Degenerate Equation Coupled with Time-delay Regularization

BV Solutions to a Degenerate Equation Coupled with Time-delay Regularization

Year:    2006

Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 4 : pp. 325–340

Abstract

In this paper, we study a initial value problem of a degenerate parabolic equation coupled with time-delay regularization. The existence of BV solutions to the problem for an initial BV_{loc} data is obtained. Moreover, the existence and uniqueness of spatial-periodic classical solutions to its corresponding regularized problem are also given.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JPDE-5336

Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 4 : pp. 325–340

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Time-delay